Level 3
Brian wanted to cut small identical 3 cm by 2 cm rectangles from a rectangular cardboard measuring 26 cm by 18 cm. What is the maximum number of complete small rectangles Brian could cut? (Note: Brian could rotate the small rectangle.)
Level 3
Brian wanted to cut small identical 3 cm by 2 cm rectangles from a rectangular cardboard measuring 26 cm by 18 cm. What is the maximum number of complete small rectangles Brian could cut? (Note: Brian could rotate the small rectangle.)
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Level 3
What is the maximum number of rectangles each measuring 3 cm by 2 cm that can be cut from a cardboard measuring 48 cm by 22 cm?
3 m
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Level 3
The figure is made up of 4 triangles within Rectangle EFGH. Find the total shaded area.
Level 3
The figure is made up of 4 triangles within Rectangle EFGH. Find the total shaded area.
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Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
- What is the length of AB as shown in Figure 1?
- What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
- What is the length of AB as shown in Figure 1?
- What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
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Level 3
What is the maximum number of squares of side 4 cm that can be cut from a rectangle measuring 81 cm by 74 cm?
3 m
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Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
- Find the length of the rectangular piece of wood.
- Find the shaded area in Figure 2.
Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
- Find the length of the rectangular piece of wood.
- Find the shaded area in Figure 2.
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Level 3
Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 384 cm2 each. What is the perimeter of Figure B?
Level 3
Figures A and B are each made up of 3 identical rectangles. Both figures have the same area of 384 cm2 each. What is the perimeter of Figure B?
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Level 3
Adrian wants to cut some 3-cm squares from a piece of rectangular paper shown. What is the greatest number of squares he can cut out?
Level 3
Adrian wants to cut some 3-cm squares from a piece of rectangular paper shown. What is the greatest number of squares he can cut out?
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Level 3
The perimeter of this rectangular field is 700 m. It is subdivided into six identical rectangular enclosures as shown. What is the area of the rectangular field?
Level 3
The perimeter of this rectangular field is 700 m. It is subdivided into six identical rectangular enclosures as shown. What is the area of the rectangular field?
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Level 3
A roll of wire can be bent to form a rectangle with designs within it of 3 cm width throughout (see given figure). The figure has a total area of 375 cm2. The breadth of the rectangle is 35 as long as its length. Find the area of the shaded parts.
Level 3
A roll of wire can be bent to form a rectangle with designs within it of 3 cm width throughout (see given figure). The figure has a total area of 375 cm2. The breadth of the rectangle is 35 as long as its length. Find the area of the shaded parts.
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Level 3
The figure shows a square PQRS. SQUV is a rectangle. ∠SUV = 21°
- Name the line that is parallel with SQ.
- Find ∠RST.
- Find ∠QTS.
Level 3
The figure shows a square PQRS. SQUV is a rectangle. ∠SUV = 21°
- Name the line that is parallel with SQ.
- Find ∠RST.
- Find ∠QTS.
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Level 3
Two rectangles of length 14 cm and breadth 10 cm, are placed one on top of the other to form a shape as shown. What is the area of the shape?
Level 3
Two rectangles of length 14 cm and breadth 10 cm, are placed one on top of the other to form a shape as shown. What is the area of the shape?
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Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
- Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
- Find ∠CAE.
- Find ∠ACE.
Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
- Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
- Find ∠CAE.
- Find ∠ACE.
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Level 3
The figure is made up of 2 identical rectangles partially overlapping each other. Find the perimeter of the figure.
Level 3
The figure is made up of 2 identical rectangles partially overlapping each other. Find the perimeter of the figure.
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Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
- Name the line that is perpendicular to FC.
- Find ∠BCH.
- Find ∠HKC.
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
- Name the line that is perpendicular to FC.
- Find ∠BCH.
- Find ∠HKC.
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Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
- What was the area of the paper before it was cut?
- What was the area of the paper after the four corners were cut?
Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
- What was the area of the paper before it was cut?
- What was the area of the paper after the four corners were cut?
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Level 3
Adam used 4 similar rectangular strips to form a square. If the perimeter of the square is 64 cm, what is the perimeter of a rectangular strip of paper?
Level 3
Adam used 4 similar rectangular strips to form a square. If the perimeter of the square is 64 cm, what is the perimeter of a rectangular strip of paper?
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Level 3
The figure is formed using 4 identical rectangles. Its perimeter is 70 cm. Find its area.
Level 3
The figure is formed using 4 identical rectangles. Its perimeter is 70 cm. Find its area.
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Level 3
Stanley used 3 similar rectangles and 2 similar squares to make the figure shown (not drawn to scale).
- Find the area of A.
- Find the area of the figure.
Level 3
Stanley used 3 similar rectangles and 2 similar squares to make the figure shown (not drawn to scale).
- Find the area of A.
- Find the area of the figure.
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Level 3
The figure is made up of 8 identical 3 cm squares and 2 identical rectangles. Find the area of the shaded rectangle.
Level 3
The figure is made up of 8 identical 3 cm squares and 2 identical rectangles. Find the area of the shaded rectangle.
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